The rule for the nth term of a sequence is 5n + 16
Find the 10th term of the sequence.

Answers

Answer 1

Answer:

66

Step-by-step explanation:

It's given that

Tn = 5n + 16

The 10th term is

T10 = 5(10) + 16

= 66

Answer 2

The 10th term of the sequence is 66.

What is Sequence?

In mathematics, a sequence is a list of numbers arranged in a specific order. Each number in the sequence is called a term. Sequences can be finite, meaning they have a specific number of terms, or they can be infinite, continuing indefinitely.

We have the rule: 5n + 16

Now, To find the 10th term of the sequence, we can substitute n = 10 into the given rule:

5n + 16 = 5(10) + 16 = 50 + 16 = 66

Therefore, the 10th term of the sequence is 66.

Learn more about Sequence here:

https://brainly.com/question/28889988

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Related Questions

Please answer this with an explanation

Answers

Answer:

64   <====  I don't see the correct answer listed

Step-by-step explanation:

Max will occur in month x given by  - b/2a =  - 32/ (2 * -16) = 1

  plug this 'x'  month in to find the max value v

=  64

A grocery store polls every twentieth customer to determine if they are satisfied with the cleanliness of the store. Forty customers are surveyed, and 26 are satisfied. What conclusion can be drawn for the 800 daily customers?

Answers

26/40=65% of customers
65% of 800 customers=520 who think the store is clean enough

PLEASE HELP !!!!!!??

Answers

Answer:

( 1, 35 )

Step-by-step explanation:

y=mx+c

c= y-intercept ( where the graph line crosses the cross line)

c=0

mx = gradient ( rise/run, up/across )

mx = 175/5 ( you could have picked any point in the graph )

mx = 35

the m is useless now so we discard it

y= 35x+0

if x = 1

then y = 35(1)+0

y= 35

at the coordinate x=1 y is 35

Which sequence of transformations shows that Figure A is similar to Figure B?



Rotate Figure A 180º about the origin, then dilate it with the center at the origin and a scale factor of 2.

Rotate Figure A 90º about the origin, then dilate it with the center at the origin and a scale factor of 2.

Reflect Figure A across the y-axis, then dilate it with the center at the origin and a scale factor of 12.

Dilate Figure A with the center at the origin and a scale factor of 2, then translate it to the left 4 units.

Answers

Answer:

That would be the second option:  Rotate Figure A 90º about the origin, then dilate it with the center at the origin and a scale factor of 2.

-yOuR nEiGhbOrhOoD cLEaNeR ;)

A triangular garden has it sides 45m,40m and 50m . Then, find the cost of fencing it's boundary at the rate of Rs.60 per meter.​

Answers

we should find perimeter.

45+40+50=135m.

then, we should multiply 135 and rate of per meter.

135×60=8100Rs.

Write the equation of the line that passes through the points (2,-4) and (4,2) in slope-intercept form.

Answers

Answer:

Slope Intercept Form: y=3x-10

Step-by-step explanation:

First, we need to solve the slope.

The formula: y2-y1/x2-x1 = m


Coordinate Points:

(2, -4) ; (4,2)

Do 2 - (-4) for the y's and 4-2 for the x's

Formula: 2-(-4)/4-2

2 - (-4) is a positive answer since the negatives cancel to a positive.

That shall be 6.


4-2 = 2

Now we have 6/2 which means 6 divided by 2 which is 3.

Our slope is 3.

Slope-Intercept Formula: y=mx+b

Our "m" is 3

y = 3x + b


Our b which is the y-intercept is undefined.

We need to plug one of the coordinates into the formula to find it.

Plug (2,-4) into the formula.

-4 = 3(2) +b

Do 3 x 2 first

-4 = 6 + b

Now subtract 6 on both sides

-6-4 = b

Our y-intercept is -10 because negative subtracted by negatives is an addition number followed by the greater number's sign.

Formula: y=3x-10

Answer:

y = 3x - 10

Step-by-step explanation:

To determine the line that passes through the points (2, -4) and (4, 2), we need to determine the slope of the line. Then, using the slope of the line and any point, we can determine the equation of the line using point slope form.

How to determine the slope of the line?

The slope of the line can be determined by using the formula (y₂ - y₁)/(x₂ - x₁), where x₂ and y₂ are the coordinates of the second point; x₁ and y₁ are the coordinates of the first point.

Determining the slope of the line:

[tex]\implies\large\text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

In this case, our first point and second point are (2, -4) and (4, 2) repectively as stated in the question. Therefore,

Point₁   =  (x₁, y₁)  =  (2, -4)   ⇒  x₁ = 2     y₁ = -4Point₂  =  (x₂, y₂) =   (4, 2)   ⇒  x₂ = 4      y₂ = 2

When we substitute the following into the formula, we obtain;

[tex]\implies\large\text{Slope} = \dfrac{2- (-4)}{4 - 2 }[/tex]

When we perform subtraction, we obtain;

[tex]\implies\large\text{Slope} = \dfrac{2- (-4)}{4 - 2 } = \dfrac{2 + 4}{2 } = \dfrac{6}{2}[/tex]

Which when simplified, we get;

[tex]\implies\large\text{Slope} = \dfrac{6}{2} = 3[/tex]

Determining the equation of the line:

As said above, to determine the equation of the line with the slope and a point given, we can use point slope form. The chosen point must be on the line. The question states that "the line that passes through the points (2,-4) and (4, 2)". Therefore, we can tell that (2,-4) and (4, 2) are points that are on the line. Let's choose (4, 2) as our chosen point.

Chosen point: (4, 2)

Now, let's substitute the slope of the line and the coordinates of the chosen point in the point slope form equation.

⇒ Point slope form: y - y₁ = m(x - x₁)⇒ Point slope form: y - 2 = 3(x - 4)

Finally, let's simplify the point slope equation and convert it into slope intercept form (as stated in question).

⇒ Point slope form: y - 2 = 3x - 12

The slope intercept form states that;

Slope intercept form: y = (m)x + (b)  

We can see that the "y" variable is isolated on one side of the equation [y = (m)x + (b), Slope intercept form equation]. Thus, we need to isolate the y-variable in y - 2 = 3x - 12 to obtain our equation in slope intercept form. This can be done by adding 2 to both sides of the equation.

⇒ y - 2 + 2 = 3x - 12 + 2⇒ y = 3x - 10

Therefore, the equation in slope intercept form is y = 3x - 10.

Help please… thank you!

Answers

Answer:

B

Step-by-step explanation:

5 × pi ÷12 = 75 degrees

this is essentially cos75

= cos(30 + 45)

then we use the identities to solve.

the answer will = to 0.2588

Please help me. I will make Brainliest

Answers

i believe the correct answer is D

How do you find the volume of a cube?

Answers

Answer:

V = s³

Step-by-step explanation:

You multiply all sides together (L×W×H)

Members of a softball team raised $1319.25 to go to a tournament. They rented a bus for $776.50 and budgeted $41.75 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.

Answers

Answer:

13 players

Step-by-step explanation:

Money Raised=RentedBus+Meals

1319.25=776.50+41.75p (p is for the number of players)(Now we solve for x)

Subtract 776.50 from both sides:   542.75=41.75x

Divide both sides by 41.75:   13=x

Remember that x is for the number of players so there'll be 13 players going to the tournament.

A triangle has angle measures of 41 cm, and 24 cm. Find the measurement of the missing angle in the triangle.

Answers

Answer:

115

Step-by-step explanation:

41+24=65.

180-65=115

Please Help Me ASAP.

Answers

Answer:

x > -10

Step-by-step explanation:

5 - 3x > 35

-5           -5

-3x > 30

[tex]\frac{-3x > 30}{-3}[/tex]= x > -10

Please someone help!!!!
Kristine observes the top of a lookout tower from a point 220 ft from its base.

If the indicated angle of elevation measures 37º, how tall is the tower? Give your answer to the nearest tenth of a foot.

Answers

Answer:

height of the tower: 165.8 ft

use tan rule:

[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

Here:                            [ your calculator should be in degree mode [D] ]

x = 37°opposite = height of the toweradjacent = 220

Solve:

[tex]\hookrightarrow \sf \sf tan(37)= \dfrac{t}{220}[/tex]

[tex]\hookrightarrow \sf t = \sf tan(37)*220[/tex]

[tex]\hookrightarrow \sf t = 165.8 \ ft[/tex]

50 POINTS FOR QUESTION 24 thank u!!

Answers

Answer:

Each instalment = £27.45

Step-by-step explanation:

Given:

Price of work trolley = £59.90Deposit = £5

Remaining balance to be paid = Price of work trolley - deposit

                                                   = £59.90 - £5

                                                   = £54.90

If the remaining balance is to be paid in 2 instalments:

Cost of each instalment = remaining balance ÷ 2

                                        = £54.90 ÷ 2

                                        = £27.45

Are my wrists skinny? Please answer and I will mark as brainliest answer.

Answers

Answer:

yes! they're pretty skinny

Step-by-step explanation:

     

yea but that’s not a bad thing lol

How do you find the sector area of a circle?

Answers

Answer:

where's question.....

Alicia tiene un reloj que se retrasa 3 segundos cada día. ¿Cuántos minutos y segundos se retrasa en un mes?
¿Y en un año?

Answers

En un mes el reloj de Alicia se retrasa 1.5 minutos, por otra parte en un año su reloj se retrasa 18 minutos y 15 segundos.

¿Cuánto se retrasa el reloj en un mes?

La mayoría de los meses tienen entre 30 y 31 días:

Mes de 30 días:

3 segundos x 30 = 90 segundos / 60 segundos = 1 minuto y 30 segundos3 segundos x 31= 91 segundos/ 60 segundos = 1 minuto y 31 segundos

En general se atrasa 1.5 minutos en un mes.

¿Cuánto se retrasa el reloj en un año?3 segundos x 365 días = 1095 segundos/ 60 segundos = 18 minutos y 15 segundos.

Aprenda más sobre el reloj en: https://brainly.com/question/8776916

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Unit 6: Radical Functions

Homework 3: Add/Subtract/Multiply Radicals
Show your work!

4. [tex]5\sqrt[3]{32x^3y^4}-3xy^3\sqrt{4y[/tex]

5. [tex]15\sqrt{2}*-2\sqrt{20}[/tex]

6. [tex]4^{3}\sqrt{-9}*7^3\sqrt{48}[/tex]

7. [tex]3\sqrt{18w^7}*10\sqrt{4w^9}[/tex]

Answers

Answer:

See below ↓↓↓↓

Step-by-step explanation:

4.

[5∛32x³y⁴] - [3xy³√4y][5*2*x*y ∛4y] - [3xy³*2 √y]10xy∛4y - 6xy³√y2xy [5∛4y - 3y²√y]

5.

15√2 * -2√20-30√40-30*2√10-60√10

6.

4³√-9 * 7³√484³*3√-1 * 7³*4√3263424√-3263424i√3 [i is the complex number for √-1]

7.

[tex]3\sqrt{18w^{7} } *10\sqrt{4w^{9} }[/tex]30√72w¹⁶30*6*w⁸√2180w⁸√2

How are area and volume similar? (will give brainliest for the right answer)

A both take up an amount of space

B both are 2-dimensional

C both have length, width, and height

D both are 3-dimensional

Answers

Answer:

the one where it say it takes height

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I got 100%

Which list shows the decimals ordered from least to greatest?

0.31, 0.68, 0.16
0.39, 0.49, 0.35
0.42, 0.47, 0.46
0.19, 0.23, 0.28

Answers

Answer:

0.19, 0.23, 0.28...............

0.19, 0.23, 0.28

The easiest way to do this is to ignore the decimal and but it in order from least to greatest

someone help me please

Answers

Answer:

b

Step-by-step explanation:

the x has been cubed meaning

X * X *X = x^3

X^3 has been added to 5

C is saying they multiplied three to x therefore being

B

Find measure of the angle UTW

Answers

Answer:

57°

Step-by-step explanation:

Using the Law of sines,

[tex]\frac{sin57}{WT} = \frac{sinx}{UT}[/tex]But, WT = UT [both are radii of the circle]⇒ sin 57° = sin x°⇒ x° = ∠UTW = 57°

9x2+x−8=0
This is class 10, Polynomials chapter.
Please somebody solve this step by step.

Answers

Answer:

Step-by-step explanation:

Find the missing measurement using the given scale factor. B А scale factor from A to B = 1:7​

Answers

Answer:

? = 49

Step-by-step explanation:

To solve this we just need to understand that when A=1, B=7. So when the side for a is 7 that is basically multiplying A by 7 so we have to do the same to the B side. So when the B side is multiplied by 7 it would be 7*7 =49 so the ? is equal to 49 when that similar side is equal to 7.

This is all based on the fact that the two triangles must be similar triangles.

I need the answer to this please

Answers

Answer:  the answer is D, if you just graph it in the Desmos graphing calculator you can solve it easily

how do i find the vertex of y= -4x^2-16x+1 ?

Answers

Answer:

(-2, 17)

Step-by-step explanation:

the first step you can do to find the vertex is to find the axis of symmetry

the equation for that is -b/2a

-(16) / 2(-4)

-16 / 8 = -2

the axis of symmetry is x =-2 so you plug in -2 to the equation

-4(-2)^2 - 16(-2) + 1

-4(4) + 32 + 1

-16 + 33

17

the vertex is (-2, 17)

A set of pencils sells for $1.85 and costs $0.60 to make. Twenty percent of
the profit (the difference between the purchase price and the amount it
costs to make) from each set of pencils goes to a school.
If 600 sets are sold, what is the amount of money that will go to the school?

Answers

Answer:

i believe its 150

Step-by-step explanation:

5 people are evenly sharing 12 kilograms of apples.
How many kilograms of apples should each person get?
Choose 1 answer:
A. 5/12 kilograms of apples
B. 2 10/5 kilograms of apples
C. 12/5 kilograms of apples
D. 1 2/5 kilograms of apples

Answers

The answer is 5/12 kilograms of apples which is A

Answer:

C. 12/5 kilograms of apples

Step-by-step explanation:

If 5ppl =12kg of apples

then 1 person= ?kg of apples

If more less divides and if less more divides

Therefore

1×12

5

= 12

5

volume(12) pls help fast

Answers

Answer:

G

Step-by-step explanation:

Volume of a triangular prism = area of the base x height

(where the "bases" are the triangles)

Area of a triangle = 1/2 x base x height

Given:

base = 3.1 cmheight = 4.8 cm

⇒ area of base of prism = 1/2 x 3.1 cm x 4.8 cm = 7.44 cm²

Given:

area of base = 7.44 cm²height of prism = 2.6 cm

Volume of the prism = 7.44 cm² x 2.6 cm = 19.344 cm³

-2 1/5 (10x - 4.4) - 0.32

Answers

−42x+ 18.16

I think !!
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